Greatest Common Factor of 5068 and 5075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5068, 5075 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5068 and 5075 is 7.

GCF(5068,5075) = 7

GCF of 5068 and 5075

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5068 and 5075

GCF of 5068 and 5075 is 7

Prime Factorization of 5068


2 5068
2 2534
7 1267
181 181
1

Prime factors of 5068 are 2,7,181. Prime factorization of 5068 in exponential form is:

5068 = 22×71×1811

Prime Factorization of 5075


5 5075
5 1015
7 203
29 29
1

Prime factors of 5075 are 5,7,29. Prime factorization of 5075 in exponential form is:

5075 = 52×71×291

∴ So by taking common prime factors GCF of 5068 and 5075 is 7

Greatest Common Factor of 5068 and 5075 by matching factors method

Factors of 5068

List of positive integer factors of 5068 that divides 5068 without a remainder.

1,2,4,7,14,28,181,362,724,1267,2534,5068

Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1,5,7,25,29,35,145,175,203,725,1015,5075

Greatest Common Factor

We found the factors and prime factorization of 5068 and 5075. The biggest common factor number is the GCF number.
So the greatest common factor 5068 and 5075 is 7.

Also check out the Least Common Multiple of 5068 and 5075

Properties of GCF 5068 and 5075

(i) The GCF of 5068 and 5075 is associative

GCF of 5068 and 5075 = GCF of 5075 and 5068

Related Greatest Common Factor of 5068

Related Greatest Common Factor of 5075

Frequently Asked Questions on GCF of 5068 and 5075

1. What is the GCF of 5068 and 5075?

Answer: GCF of 5068 and 5075 is 7.

2. What are the Factors of 5068?

Answer: Factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068. There are 12 integers that are factors of 5068. The greatest factor of 5068 is 5068.

3. What are the Factors of 5075?

Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.

4. How to Find the GCF of 5068 and 5075?

Answer:

Greatest Common Factor of 5068 and 5075 = 7

Step 1: Find the prime factorization of 5068

5068 = 2 x 2 x 7 x 181

Step 2: Find the prime factorization of 5075

5075 = 5 x 5 x 7 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 5068 and 5075 is 7